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Related papers: An analytical model for a full wind turbine wake

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This paper solves an approximate form of conservation of mass and momentum for a turbine in a wind farm array. The solution is a fairly simple explicit relationship that predicts the streamwise velocity distribution within a wind farm with…

A novel fast-running model is developed to predict the three-dimensional (3D) distribution of turbulent kinetic energy (TKE) in axisymmetric wake flows. This is achieved by mathematically solving the partial differential equation of the TKE…

Fluid Dynamics · Physics 2024-11-27 Majid Bastankhah , Jenna K. Zunder , Peter Hydon , Charles Deebank , Marco Placidi

A purely analytical wake model for wind turbines is derived, anchored exclusively in physical interactions between atmospheric turbulence and turbine dynamics, and thus inherently accounting for atmospheric stratification. Unlike empirical…

Atmospheric and Oceanic Physics · Physics 2025-10-21 Emeline Noël , Erwan Jézéquel , Pierre-Antoine Joulin

So-called engineering or analytical wind farm flow solvers typically build upon two submodels: one for the velocity deficit and one for the wake-added turbulence intensity. While velocity deficit modelling has received considerable…

Fluid Dynamics · Physics 2026-05-01 Frédéric Blondel , Erwan Jézéquel , Helen Schottenhamml , Majid Bastankhah

Arrays of Vertical Axis Wind Turbines (VAWTs) can achieve larger power generation per land area than horizontal axis turbines farms, due to the positive synergy between VATs in close proximity. Theoretical wake models enable the reliable…

Fluid Dynamics · Physics 2023-01-10 Pablo Ouro , Maxime Lazennec

Active wake control (AWC) has emerged as a promising strategy for enhancing wind turbine wake recovery, but accurately modelling its underlying fluid mechanisms remains challenging. This study presents a computationally efficient wake model…

Fluid Dynamics · Physics 2025-06-25 Zhaobin Li , Xiaolei Yang

Motivated by the need for compact descriptions of the evolution of non-classical wakes behind yawed wind turbines, we develop an analytical model to predict the shape of curled wakes. Interest in such modelling arises due to the potential…

Analytical wake models provide a computationally efficient means to predict velocity distributions in wind turbine wakes in the atmospheric boundary layer (ABL). Most existing models are developed for neutral atmospheric conditions and…

Fluid Dynamics · Physics 2024-12-17 Ghanesh Narasimhan , Dennice F. Gayme , Charles Meneveau

Several novel wind energy systems produce wakes with annular cross-sections, which are qualitatively different from the wakes with circular cross-sections commonly generated by conventional horizontal-axis wind turbines and by compact…

Fluid Dynamics · Physics 2021-09-27 Sam Kaufman-Martin , Nicholas Naclerio , Pedro May , Paolo Luzzatto-Fegiz

This paper presents two novel analytical wake models for crosswind kite power systems. One is developed based on the continuity equation, and the other based on both the continuity and momentum equations. For each model, equations for the…

Fluid Dynamics · Physics 2022-09-28 Mher Marc Karakouzian , Mojtaba Kheiri

Super-large-scale particle image velocimetry and flow visualization with natural snowfall is used to collect and analyze multiple datasets in the near wake of a 2.5 MW wind turbine. Each dataset captures the full vertical span of the wake…

Fluid Dynamics · Physics 2020-05-20 Aliza Abraham , Teja Dasari , Jiarong Hong

Accurate prediction of turbulence kinetic energy (TKE) added by wind-turbine wakes is of significant scientific value for understanding the wake recovery mechanisms. Furthermore, this physical quantity is a critical input for engineering…

Fluid Dynamics · Physics 2025-11-26 Bowen Du , Jingshan Zhu , Baoliang Li , Mingwei Ge , Xintao Li , Yongqian Liu

This work focuses on the validation of the dynamic wake meandering (DWM) model against large eddy simulation (LES). The wake deficit, mean deflection, and meandering under different wind turbine misalignment angles in yaw and tilt, for the…

Fluid Dynamics · Physics 2023-08-03 Irene Rivera-Arreba , Zhaobin Li , Xiaolei Yang , Erin E. Bachynski-Polić

In this paper, a model predictive control scheme for wind farms is presented. Our approach considers wake dynamics including their influence on local wind conditions and allows to track a given power reference. In detail, a Gaussian wake…

Systems and Control · Electrical Eng. & Systems 2024-05-22 Arnold Sterle , Christian A. Hans , Jörg Raisch

Classical actuator disk theory, developed more than a century ago, provides an idealised description of turbine rotor performance. It treats a rotor as an infinitesimally-thin permeable disk and applies the governing flow equations over a…

Fluid Dynamics · Physics 2026-03-26 Majid Bastankhah , Peter E. Hydon , Carl Shapiro , Dennice F. Gayme , Charles Meneveau

Low-fidelity analytical models of turbine wakes have traditionally been used for wind farm planning, performance evaluation, and demonstrating the utility of advanced control algorithms in increasing the annual energy production. In…

Fluid Dynamics · Physics 2022-08-26 Aditya H. Bhatt , Federico Bernardoni , Stefano Leonardi , Armin Zare

The proper orthogonal decomposition has been applied on a full-scale horizontal-axis wind turbine to shed light on the wake characteristics behind the wind turbine. In reality, the blade tip experiences high deflections even at the rated…

Understanding wind turbine wake mixing and recovery is critical for improving the power generation and structural stability of downwind turbines in a wind farm. In the field, where incoming flow and turbine operation are constantly…

Fluid Dynamics · Physics 2019-05-09 Aliza Abraham , Jiarong Hong

In this paper, wake steering is applied to multirotor turbines to determine whether it has the potential to reduce wind plant wake losses. Through application of rotor yaw to multirotor turbines, a new degree of freedom is introduced to…

Fluid Dynamics · Physics 2021-03-23 Gustav A. Speakman , Mahdi Abkar , Luis A. Martínez-Tossas , Majid Bastankhah

We apply the proper orthogonal decomposition (POD) to large eddy simulation data of a wind turbine wake in a turbulent atmospheric boundary layer. The turbine is modeled as an actuator disk. Our analyis mainly focuses on the question…

Fluid Dynamics · Physics 2015-03-11 David Bastine , Björn Witha , Matthias Wächter , Joachim Peinke
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